Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
The pattern is see is saying
Step-by-step explanation: 5+2-4-1+7-8
Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
E. 8x+7(325)=15(325)
It would include the 8 hrs. of x miles per hour and the 7 hrs. of 325 miles per hour, giving the total miles. Then, as you eliminate, you can find out what (x) is.
Answer:
(1,1) is a solution of the system.
Step-by-step explanation:
Let's solve the system.
y = 2x - 1
5x - 4y = 1
In the first equation, y is already separated as a function of x. So we replace in the second equation;
5x - 4(2x - 1) = 1
5x - 8x + 4 = 1
4 - 1 = 8x - 5x
x = 1
y = 2x - 1 = 2(1) - 1 = 1
(1,1) is a solution of the system.
